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        <p id="owner"><a name="scalation" class="extype" href="../package.html">scalation</a></p>
        <h1>dynamics</h1>
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      <span class="kind">package</span>
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        <span class="name">dynamics</span>
        
        
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              <ol><li class="public in"><span>Public</span></li><li class="all out"><span>All</span></li></ol>
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        <div class="types members" id="types">
              <h3>Type Members</h3>
              <ol><li visbl="pub" name="scalation.dynamics.Integrator" data-isabs="true">
      <a id="Integrator:Integrator"></a>
      <h4 class="signature">
      <span class="kind">trait</span>
      <span class="symbol"> 
        <a href="Integrator.html"><span class="name">Integrator</span></a>
        
        <span class="result"> extends Error</span>
      </span>
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      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This trait provides a template for writing numerical integrators (e.</p>
    </li><li visbl="pub" name="scalation.dynamics.LinearDiffEq" data-isabs="false">
      <a id="LinearDiffEq:LinearDiffEq"></a>
      <h4 class="signature">
      <span class="kind">class</span>
      <span class="symbol"> 
        <a href="LinearDiffEq.html"><span class="name">LinearDiffEq</span></a>
        
        <span class="result"> extends Error</span>
      </span>
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      <p class="comment cmt">:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This class may be used for solving a system of linear differential equations
that are ordinary and first-order with constant coefficients of the form
y(t)' = a * y(t) where ' is d/dt, y(t) is the vector function of time and a is
the coefficient matrix.</p>
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              <h3>Value Members</h3>
              <ol><li visbl="pub" name="scalation.dynamics.Calculus" data-isabs="false">
      <a id="Calculus:Calculus"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="Calculus$.html"><span class="name">Calculus</span></a>
        
        <span class="result"> extends AnyRef</span>
      </span>
      </h4>
      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This object is used to define types of time derivative functions.</p>
    </li><li visbl="pub" name="scalation.dynamics.DormandPrince" data-isabs="false">
      <a id="DormandPrince:DormandPrince"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="DormandPrince$.html"><span class="name">DormandPrince</span></a>
        
        <span class="result"> extends Integrator</span>
      </span>
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      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Given an unknown, time-dependent function y(t) governed by an Ordinary
Differential Equation (ODE) of the form y(t)' = f(t, y) where ' is d/dt,
compute y(t) using a (4,5)-order Dormand-Prince Integrator (DOPRI).</p>
    </li><li visbl="pub" name="scalation.dynamics.DormandPrinceTest" data-isabs="false">
      <a id="DormandPrinceTest:DormandPrinceTest"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="DormandPrinceTest$.html"><span class="name">DormandPrinceTest</span></a>
        
        <span class="result"> extends App</span>
      </span>
      </h4>
      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This object is used to test the DormandPrince object.</p>
    </li><li visbl="pub" name="scalation.dynamics.LinearDiffEqTest" data-isabs="false">
      <a id="LinearDiffEqTest:LinearDiffEqTest"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="LinearDiffEqTest$.html"><span class="name">LinearDiffEqTest</span></a>
        
        <span class="result"> extends App</span>
      </span>
      </h4>
      <p class="comment cmt">:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Object to test the LinearDiffEq class using example at</p>
    </li><li visbl="pub" name="scalation.dynamics.RungeKutta" data-isabs="false">
      <a id="RungeKutta:RungeKutta"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="RungeKutta$.html"><span class="name">RungeKutta</span></a>
        
        <span class="result"> extends Integrator</span>
      </span>
      </h4>
      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Given an unknown, time-dependent function y(t) governed by an Ordinary
Differential Equation (ODE) of the form y(t)' = f(t, y) where ' is d/dt,
compute y(t) using a 4th-order Runge-Kutta Integrator (RK4).</p>
    </li><li visbl="pub" name="scalation.dynamics.RungeKuttaTest" data-isabs="false">
      <a id="RungeKuttaTest:RungeKuttaTest"></a>
      <h4 class="signature">
      <span class="kind">object</span>
      <span class="symbol"> 
        <a href="RungeKuttaTest$.html"><span class="name">RungeKuttaTest</span></a>
        
        <span class="result"> extends App</span>
      </span>
      </h4>
      <p class="comment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This object is used to test the RungeKutta object.</p>
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